Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462b |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
1097163560503296 = 211 · 39 · 115 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -1 0 11+ 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-135420,19148624] |
[a1,a2,a3,a4,a6] |
Generators |
[247:727:1] |
Generators of the group modulo torsion |
j |
82564992800667/329832448 |
j-invariant |
L |
3.3413538839878 |
L(r)(E,1)/r! |
Ω |
0.49236602438209 |
Real period |
R |
3.3931604929291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33462bv1 33462bw1 |
Quadratic twists by: -3 13 |